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Simplifying 12x + 15w + -9 + 5 = -3w + 5 + -9 Reorder the terms: -9 + 5 + 15w + 12x = -3w + 5 + -9 Combine like terms: -9 + 5 = -4 -4 + 15w + 12x = -3w + 5 + -9 Reorder the terms: -4 + 15w + 12x = 5 + -9 + -3w Combine like terms: 5 + -9 = -4 -4 + 15w + 12x = -4 + -3w Add '4' to each side of the equation. -4 + 15w + 4 + 12x = -4 + 4 + -3w Reorder the terms: -4 + 4 + 15w + 12x = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 0 + 15w + 12x = -4 + 4 + -3w 15w + 12x = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 15w + 12x = 0 + -3w 15w + 12x = -3w Solving 15w + 12x = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 15w + 3w + 12x = -3w + 3w Combine like terms: 15w + 3w = 18w 18w + 12x = -3w + 3w Combine like terms: -3w + 3w = 0 18w + 12x = 0 Add '-12x' to each side of the equation. 18w + 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 18w + 0 = 0 + -12x 18w = 0 + -12x Remove the zero: 18w = -12x Divide each side by '18'. w = -0.6666666667x Simplifying w = -0.6666666667x
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